A group of 288 students are planning to travel by van to a museum. If each van holds 24 students, how many vans are needed? 12 24 144 264​

Answer:

-5

Step-by-step explanation:

I think it is -5 as I used y=Mx+C where it is the intercept

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Answer:

<

Step-by-step explanation:

Hope this helps!

Answer:

i don't know how to work this

Answer:

x = \(\frac{3}{4}\) , x = 20

Step-by-step explanation:

2(\(\frac{3x-5}{x+2}\) ) - 5 (\(\frac{x+2}{3x-5}\) ) = 3

Multiply through by (x + 2)(3x - 5) to eliminate the fractions

2(3x - 5)² - 5(x + 2)² = 3(x + 2)(3x - 5) ← expand factors on both sides

2(9x² - 30x + 25) - 5(x² + 4x + 4) = 3(3x² + x - 10) ← distribute parenthesis

18x² - 60x + 50 - 5x² - 20x - 20 = 9x² + 3x - 30 ← simplify left side

13x² - 80x + 30  = 9x² + 3x - 30 ( subtract 9x² + 3x - 30 from both sides )

4x² - 83x + 60 = 0 factor by splitting the x- term

4x² - 80x - 3x + 60 = 0

4x(x - 20) - 3(x - 20) = 0

(4x - 3)(x - 20) = 0

Equate each factor to zero and solve for x

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = \(\frac{3}{4}\)

x - 20 = 0 ⇒ x = 20

Answer:

139 quarts

Step-by-step explanation:

Answer:

The mechanic would use 139 quarts for the 17 cars.

The table of equivalent ratios:

                        1 liter        40 liters          Ratio

Blue paint       375 ml        625 ml           3:5

Yellow paint    15000 ml      25000 ml    3:5

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

We can assume that,

The ratio of blue paint and yellow paint needed to make one liter of green paint:

= 3 : 5

We know that,

1 liter = 1000 ml

This means,

Blue paint = 3/8 x 1000 ml = 375 ml

Yellow paint = 5/8 x 1000 ml = 625 ml

We can now say that,

To make one liter of green paint:

Blue paint = 375 ml

Yellow paint = 625 ml

To make 40 liters of green paint.

Blue paint = 40 x 375 ml = 15,000 ml = 15 liters

Yellow paint = 40 x 625 ml = 25000 ml = 25 liters

We see that,

15 : 25 = 3 : 5

15 liter + 5 liters = 40 liters

Thus,

The table of equivalent ratios:

                        1 liter        40 liters          Ratio

Blue paint       375 ml        625 ml           3:5

Yellow paint    15000 ml      25000 ml    3:5

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To calculate the probability that the lost paycheck belongs to an employee in the research department, we need to consider the number of employees in the research department relative to the total number of employees in all departments.

The total number of employees in the research department is given as 55, while the total number of employees across all departments is obtained by summing the individual department counts: 39 + 55 + 41 + 27 + 44 + 59 = 265.

To find the probability, we divide the number of employees in the research department by the total number of employees:

Probability = Number of employees in the research department / Total number of employees = 55 / 265 ≈ 0.2075.

Therefore, the probability that the lost paycheck belongs to an employee in the research department is approximately 0.2075, or 20.75%.

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The value of y if the perimeter of the figure is 5y is 15meters.

The perimeter of a polygon is the sum of the length of the whole sides.

Therefore,

perimeter = y + 2y + 30

perimeter = 5y

Hence,

5y = 3y + 30

5y - 3y = 30

2y = 30

divide both sides by 2

2y / 2 = 30 / 2

y = 15

Therefore, the value of y is 15m.

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Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x ≥ 4.8

Answer:

\(x \geqslant 4.8\)

Step-by-step explanation:

\(15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ \)

Answer:

side A should be about 44cm

Answer:

11

Step-by-step explanation:

i just need 11 more than ill be fine

Answer:

The answers are A, B, C, and probably F

Step-by-step explanation:

Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.

Hope this helps!

Answer:

Yes, it is possible that the triangles ABC and DEF are similar. To check if two triangles are similar, one must check if all the corresponding angles are equal. To do this, we need to find the measure of triangle ABC's interior angles. We can use the Triangle Sum Theorem, which states that the sum of any triangle's three interior angles is equal to 180 degrees. So, if we subtract 22 + (2X) + 55 from 180, we get 180 - 77 = 103. Therefore, triangle ABC's interior angle measures are 22, (2X), and 103.

To determine if the two triangles are similar, we must also find the interior angle measures of triangle DEF. We can do this by subtracting 11 + 5 + (5.5X) from 180, which gives us 180 - 16.5 = 163.5. Therefore, triangle DEF's interior angle measures are 11, 5, and 163.5.

Now, since all the pairs of corresponding angles are equal (22 and 11; 2X and 5; and 103 and 163.5), the triangles ABC and DEF do have the possibility of being similar.

The recipe calls for 3 teaspoons of cinnamon for every 8 cups of flour. To find out how many teaspoons of cinnamon are needed for 1 cup of flour, you can set up a proportion:

3 teaspoons / 8 cups = x teaspoons / 1 cup

Now, solve for x:

3/8 = x/1
x = 3/8

So, the recipe calls for 3/8 teaspoon of cinnamon for 1 cup of flour.

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Applying the converse of the same-side exterior angles theorem, the diagram that shows the pair of angle measures that can be used to prove the lines are parallel is: C.

The converse of the same-side exterior angles theorem states that if the exterior angles, that are on the same side of a transversal that intersects the lines they lie on, have a sum of 180 degrees, then the two lines are parallel to each other.

Given the diagram in option C, angles 120 and 60 are each on lines a and b respectively. They are exterior angles that are on the same side of the transversal that intersects lines a and b.

Thus, 120 + 60 = 180°.

Since they have a sum of 180 degrees, then lines a and b are parallel to each other.

The correct answer is: C.

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Answer:

450, 566 ; 450,082 ; 405,987

Step-by-step explanation:

Number of visitors in may = 450,082

Number of visitors in June = 450,566

Number of visitors in July = 405,987

Arranging the number of visitors from greatest to least(In descending order).

450,566 > 450,082 > 405,987

450, 566 ; 450,082 ; 405,987

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

\(y = x^2 - 8 x + 12\)

To get the x intersept put y = 0

\(x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6\)

So, the intersepts are

(2, 0) and (6, 0)

Answer:

------------------------------------

If you add a parallel line through the point Q, then angle TQR will be divided by two angles.

One of them is congruent to ∠STQ and another one is congruent to ∠PRQ as alternate interior angles.

Therefore:

The missing step in the proof above is given by:

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

The transitive property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can infer and logically deduce that the missing step in the proof above is given by:

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Answer:

y= \(\frac{1}{12}\) · x²

Step-by-step explanation:

\(\frac{1}{4 times P}\) ·x²

p=3

\(\frac{1}{4times3}\) ·x²

The function h(x) is the result of two rigid transformations, reflecting the function f(x) about the x-axis and translating it vertically 7 units down.

In this problem we must determine the difference between the quadratic functions f(x) = x² and h(x) = - x² - 7, we can infer the change necessary to derive h(x) by means of rigid transformations, that is, transformations applied on a function such that the features of the functions are conserved.

All the rigid transformations required to transform f(x) into h(x) are listed below:

Now we proceed to plot the two functions. From the graph we noticed that h(x) is the result of reflecting f(x) about the x-axis and translating 7 units in the -y direction.

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Answer:

the answer is$4

Step-by-step explanation:

he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars

Answer:

C

Step-by-step explanation:

The most important cell in your body is the red blood cell.

Cells are the fundamental components of life. Every item you observe contains cells. Organelles are structures found inside cells that allow the cell to function.

Red blood cells are the most frequent form of blood cell and the vertebrate's primary mechanism of distributing oxygen to bodily tissues via blood flow through the circulatory system.

Blood cell activity is essential to life, from delivering oxygen throughout the body to battling infection. Bone marrow is responsible for the production of blood cells. Red blood cells, white blood cells, and platelets are the three major types of blood cells.

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Answer:

Step-by-step explanation:

Sum of all angles of pentagon = (5-2)*180 = 3 *180 = 540

4x + 2 +6x - 6 + 4x - 10 + 5x - 11 + 5x + 13 = 540

4x + 6x  + 4x + 5x + 5x + 2 - 6 - 10 - 11 + 13 = 540

                                                     24x  -12 = 540

                                                            24x = 540 + 12

                                                             24x = 552

                                                                 x = 552/24

                                                                  x = 23

∠P = 4x + 2

     = 4*23 + 2

     = 92 + 2

    = 94°

Answer:

y = -1x + 8

Step-by-step explanation:

(1,7)

y = mx + b

7 = -1 × 1 + b

solving for b:

b = 7 - (-1)(1)

b = 8

Therefore,

y = -1x + 8

a) A function representing the balance (in dollars) of the savings account after t years is FV = PV(1+r)^n, where FV is the future value or balance, PV is the present value, r is the annual interest rate, and n is the number of periods interest is compounded.

b) The balance (the future value) of the savings account, in which you deposit $9,000 earning 3.6% annual interest compounded monthly, after 7 years is $11,575.00.

c) For the present value of $9,000 to double, it will take about 19 years.

b) N (# of periods) = 84 months (7 years x 12)

I/Y (Interest per year) = 3.6%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $11,575.00

Total Interest = $2,575.00

c) I/Y (Interest per year) = 3.6%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

FV (Future Value) = $-18,000

Results:

N = 231.395

= 19.3 years (231.395 ÷ 12)

Total Interest = $9,000.00

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